Theorems · Theorem · order theory
inf_assoc
∀ {α : Type u} [inst : SemilatticeInf α] (a b c : α), a ⊓ b ⊓ c = a ⊓ (b ⊓ c)- Defined in
- Mathlib.Order.Lattice
- Cited by
- 53 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
- Assumes
- SemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeInfstatement and proof · cited by 634
- eq_of_forall_le_iffproof · cited by 65
- le_inf_iffproof · cited by 48
Cited by53
Results whose statement or proof uses this declaration.
- inf_sup_leftproof · cited by 28
- inf_inf_inf_commproof · cited by 13
- inf_right_commproof · cited by 9
- inf_left_commproof · cited by 9
- accPt_iff_clusterPtproof · cited by 7
- nhdsWithin_interproof · cited by 6
- Filter.prod_inf_prodproof · cited by 6
- inf_sdiff_assocproof · cited by 5
- Subfield.relrank_inf_mul_relrankproof · cited by 4
- Subfield.lift_relrank_comapproof · cited by 4
- Subfield.lift_relrank_comap_comap_eq_lift_relrank_infproof · cited by 4
- sdiff_sdiff_rightproof · cited by 4